Is there a web application that let Non-US people play MP3 files right off the cloud?
SugarSync offers 5GB of storage and a web based music player;
You can sign up here; https://www.sugarsync.com/signup?startsub=5
Hope this helps.
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Google Music Beta will let you store your music in the cloud and play it from a browser.
The problem is that you need to request an invite, and only in the US.
But You can get an invite using proxy , see this link
Note: Google Music Beta is a fine proof of concept, letting you store your music in the cloud and play it from a browser, but getting all the music you want into it isn't practical yet, and some processes are slow. For now, Amazon Cloud Player is a better bet.
Yes. One that I am aware of is through Amazon. You can upload your own content to it, too.